Lesson 8 | Polygons and Algebraic Relationships | 10th Grade Mathematics

Objective

Algebraically verify diagonal relationships in quadrilaterals and parallelograms.

Lesson Map

Topic A: Distance on the Coordinate Plane

Lesson

Use the Pythagorean Theorem to calculate distance on a coordinate plane. Develop a formula for calculating distances.

Standards

G.GPE.B.7

Lesson

Partition horizontal and vertical line segments into equal proportions on a number line.

Standards

G.GPE.B.6

Lesson

Divide a line segment on a coordinate plane proportionally and identify the point that divides the segment proportionally.

Standards

G.GPE.B.6

Topic B: Classify Polygons using Slope Criteria and Proportional Line Segments

Lesson

Algebraically and using the Pythagorean Theorem, determine the slope criteria for perpendicular lines.

Standards

G.GPE.B.5G.SRT.C.8

Lesson

Describe and apply the slope criteria for parallel lines.

Standards

G.GPE.B.5

Lesson

Identify and create parallelograms, rectangles, rhombuses, and squares on the coordinate plane.

Standards

G.GPE.B.4

Lesson

Algebraically verify midsegment, median, and parallel line relationships in triangles.

Standards

G.CO.C.10G.SRT.B.4

Lesson

Algebraically verify diagonal relationships in quadrilaterals and parallelograms.

Standards

G.CO.C.11G.GPE.B.4

Topic C: Area and Perimeter On and Off the Coordinate Plane

Lesson

Calculate and justify the area and perimeter of polygons and composite shapes off the coordinate plane.

Standards

G.GPE.B.7

Lesson

Calculate and justify the area and perimeter of parallelograms and triangles on the coordinate plane.

Standards

G.GPE.B.7

Lesson

Calculate and justify composite and irregular areas on the coordinate plane.

Standards

G.GPE.B.7N.Q.A.3

Lesson

Describe how the area changes when a figure is scaled.

Standards

G.GPE.B.7

Lesson

Solve area applications by creating and solving quadratic equations.

Standards

A.CED.A.1

Lesson

Describe a polygon on the coordinate plane using a system of inequalities.

Standards

A.CED.A.3G.CO.A.2

Lesson

Calculate and justify the area and perimeter of polygons on the coordinate plane given a system of inequalities.

Standards

A.REI.D.12G.GPE.B.4G.GPE.B.7

Polygons and Algebraic Relationships

Objective

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Polygons and Algebraic Relationships

Objective

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